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Finding the Fourth Proportional to 9,295.13, 12,827.38 and 5,046.23

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Solution

The fourth proportional to 9,295.13, 12,827.38 and 5,046.23 is: 6,963.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.13 : 12,827.38 = 5,046.23 : x
  2. Step 2: Convert to fraction form
    9,295.13/12,827.38 = 5,046.23/x
  3. Step 3: Cross multiply
    9,295.13x = 12,827.38 × 5,046.23
  4. Step 4: Simplify right side
    9,295.13x = 64,729,909.78
  5. Step 5: Solve for x
    x = 64,729,909.78/9,295.13
  6. Step 6: Final answer
    x = 6,963.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.